KMS weights on higher rank buildings

TL;DR

This paper generalizes the concept of KMS weights from graph C*-algebras to higher rank buildings, extending modular index invariants to a broader geometric setting.

Contribution

It introduces notions of KMS weights on higher rank buildings, expanding the framework beyond Mumford curves and graph algebras.

Findings

Generalized KMS weights for higher rank buildings

Extended modular index invariants to new geometric structures

Established connections between buildings and operator algebras

Abstract

We extend some of the results of Carey-Marcolli-Rennie on modular index invariants of Mumford curves to the case of higher rank buildings: we discuss notions of KMS weights on buildings, that generalize the construction of graph weights over graph C*-algebras.